2226189168 has 360 divisors, whose sum is σ = 7816388112. Its totient is φ = 587575296.

The previous prime is 2226189149. The next prime is 2226189179. The reversal of 2226189168 is 8619816222.

2226189168 is a `hidden beast` number, since 2 + 22 + 618 + 9 + 1 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8036646 + ... + 8036922.

Almost surely, 2^2226189168 is an apocalyptic number.

2226189168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226189168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3908194056).

2226189168 is an abundant number, since it is smaller than the sum of its proper divisors (5590198944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2226189168 is a wasteful number, since it uses less digits than its factorization.

2226189168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 373 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 2226189168 is about 47182.5091320926. The cubic root of 2226189168 is about 1305.7319221783.

The spelling of 2226189168 in words is "two billion, two hundred twenty-six million, one hundred eighty-nine thousand, one hundred sixty-eight".